Karapınar, Erdal

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Profile URL
https://hdl.handle.net/20.500.14411/8514
Name Variants
Karapınar,E.
Karapınar, E.
E.,Karapinar
K., Erdal
Karapinar,E.
K.,Erdal
Erdal, Karapınar
E., Karapinar
Karapinar, Erdal
E.,Karapınar
KarapJnar, Erdal
Karapınar, Erdal
Erdal, Karapinar
Karapinar, E.
KARAPINAR,E.
KARAPINAR,E.
Karapnar,E.
Karapńar, Erdal
Job Title
Profesör Doktor
Email Address
erdal.karapinar@atilim.edu.tr
Main Affiliation
Mathematics
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Website
ORCID ID
0000-0002-6798-3254
Scopus Author ID
16678995500
Turkish CoHE Profile ID
19184
Google Scholar ID
PRXAyLcAAAAJ
WoS Researcher ID
H-3177-2011

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Documents

540

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15450

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507

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Scholarly Output

408

Articles

389

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1

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WoS Citation Count

10047

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11351

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24.63

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Fixed Point Theory and Applications59
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Journal of Inequalities and Applications39
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Author: Aydi, HassenHas files: false

Scholarly Output Search Results

Now showing 1 - 10 of 49
  • Thumbnail Image
    Article
    Citation - WoS: 11
    Citation - Scopus: 8
    Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions
    (Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Erhan, Inci M.
    We prove coupled coincidence point and coupled fixed point results of F : X x X -> X and g : X -> X involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature. Also, we give some illustrative examples and application.
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    Article
    Citation - WoS: 29
    Citation - Scopus: 36
    Fixed Point Results on a Class of Generalized Metric Spaces
    (Springer Heidelberg, 2012) Aydi, Hassen; Karapinar, Erdal; Lakzian, Hossein
    Brianciari ('A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces,' Publ. Math. Debrecen 57 (2000) 31-37) initiated the notion of the generalized metric space as a generalization of a metric space in such a way that the triangle inequality is replaced by the 'quadrilateral inequality,' d(x, y) <= d(x, a) + d(a, b) + d(b, y) for all pairwise distinct points x, y, a, and b of X. In this paper, we establish a fixed point result for weak contractive mappings T : X -> X in complete Hausdorff generalized metric spaces. The obtained result is an extension and a generalization of many existing results in the literature.
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    Article
    Citation - WoS: 13
    Citation - Scopus: 16
    A Remark on "existence and Uniqueness for a Neutral Differential Problem With Unbounded Delay Via Fixed Point Results F-Metric Spaces"
    (Springer-verlag Italia Srl, 2019) Aydi, Hassen; Karapinar, Erdal; Mitrovic, Zoran D.; Rashid, Tawseef
    Very recently, Hussain and Kanwal (Trans A Razmadze Math Inst 172(3): 481-490, 2018) proved some (coupled) fixed point results in this setting for a -.-contractive mappings on the setting of F-metric spaces that was initiated by Jleli and Samet (Fixed Point Theory Appl 2018: 128, 2018). In this note, we underline that the proof of Hussain and Kanwal (Trans A Razmadze Math Inst 172(3): 481-490, 2018) has a gap. We provide two examples to illustrate our observation. We also correct the proof and improved the result by replacing a-admissibility by orbital a-admissibility.
  • Thumbnail Image
    Article
    Citation - WoS: 174
    Citation - Scopus: 192
    Interpolative Reich-Rus Type Contractions on Partial Metric Spaces
    (Mdpi, 2018) Karapinar, Erdal; Agarwal, Ravi; Aydi, Hassen
    By giving a counter-example, we point out a gap in the paper by Karapinar (Adv. Theory Nonlinear Anal. Its Appl. 2018, 2, 85-87) where the given fixed point may be not unique and we present the corrected version. We also state the celebrated fixed point theorem of Reich-Rus-Ciric in the framework of complete partial metric spaces, by taking the interpolation theory into account. Some examples are provided where the main result in papers by Reich (Can. Math. Bull. 1971, 14, 121-124; Boll. Unione Mat. Ital. 1972, 4, 26-42 and Boll. Unione Mat. Ital. 1971, 4, 1-11.) is not applicable.
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    Article
    Citation - WoS: 27
    Citation - Scopus: 28
    Generalized Meir-Keeler Type Contractions on g-metric Spaces
    (Elsevier Science inc, 2013) Mustafa, Zead; Aydi, Hassen; Karapinar, Erdal
    In this manuscript, we introduce generalized Meir-Keeler type contractions over G-metric spaces. Moreover, we show that every orbitally continuous generalized Meir-Keeler type contraction has a unique fixed point on complete G-metric spaces. We illustrate our results by some given examples. (C) 2013 Elsevier Inc. All rights reserved.
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    Article
    Citation - WoS: 82
    Citation - Scopus: 87
    On Common Fixed Points in g-metric Spaces Using (e.a) Property
    (Pergamon-elsevier Science Ltd, 2012) Mustafa, Zead; Aydi, Hassen; Karapinar, Erdal
    In this paper, we introduce some new types of pairs of mappings (f, g) on G-metric spaces called G-weakly commuting of type G(f) and G-R-weakly commuting of type G(f). We obtain also several common fixed point results by using the (E.A) property. (c) 2012 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 31
    Citation - Scopus: 36
    New Meir-Keeler Type Tripled Fixed-Point Theorems on Ordered Partial Metric Spaces
    (Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal
    In this paper, we prove some new Meir-Keeler type tripled fixed-point theorems on a partially ordered complete partial metric space. Also, as application, some results of integral type are given.
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    Article
    Citation - WoS: 51
    Citation - Scopus: 57
    Tripled Coincidence Point Results for Generalized Contractions in Ordered Generalized Metric Spaces
    (Springer international Publishing Ag, 2012) Aydi, Hassen; Karapinar, Erdal; Shatanawi, Wasfi
    In this paper, we establish some tripled coincidence point results for a mixed g-monotone mapping F : X (3) -> X satisfying (psi, I center dot)-contractions in ordered generalized metric spaces. Also, an application and some examples are given to support our results.
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    Article
    Citation - WoS: 25
    Citation - Scopus: 31
    Best proximity points and extension of Mizoguchi-Takahashi's fixed point theorems
    (Springer int Publ Ag, 2013) Kumam, Poom; Aydi, Hassen; Karapinar, Erdal; Sintunavarat, Wutiphol
    In this paper, we introduce a multi-valued cyclic generalized contraction by extending the Mizoguchi and Takahashi's contraction for non-self mappings. We also establish a best proximity point for such type contraction mappings in the context of metric spaces. Later, we characterize this result to investigate the existence of best proximity point theorems in uniformly convex Banach spaces. We state some illustrative examples to support our main theorems. Our results extend, improve and enrich some celebrated results in the literature, such as Nadler's fixed point theorem, Mizoguchi and Takahashi's fixed point theorem.
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    Article
    Citation - WoS: 24
    Citation - Scopus: 25
    On Common Best Proximity Points for Generalized Α - Ψ-Proximal Contractions
    (int Scientific Research Publications, 2016) Aydi, Hassen; Felhi, Abdelbasset; Karapinar, Erdal
    We establish some common best proximity point results for generalized alpha - psi-proximal contractive non -self mappings. We provide some concrete examples. We also derive some consequences on some best proximity results on a metric space endowed with a graph. (C) 2016 All rights reserved.